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Simplifying 8.5 + -0.5 + -1z = 7 Combine like terms: 8.5 + -0.5 = 8 8 + -1z = 7 Solving 8 + -1z = 7 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1z = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = 7 + -8 -1z = 7 + -8 Combine like terms: 7 + -8 = -1 -1z = -1 Divide each side by '-1'. z = 1 Simplifying z = 1
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